# C16xC2

## Blocks with defect group $C_{16} \times C_2$
${\rm Aut}(C_{16} \times C_2)$ is a $2$-group and $C_{16} \times C_2$ is abelian, so there is only one possible fusion system. Hence every block with this defect group is nilpotent.
There is a unique $\mathcal{O}$-Morita equivalence class.
Class Representative # lifts / $\mathcal{O}$ $k(B)$ $l(B)$ Inertial quotients ${\rm Pic}_\mathcal{O}(B)$ ${\rm Pic}_k(B)$ ${\rm mf_\mathcal{O}(B)}$ ${\rm mf_k(B)}$ Notes
M(32,16,1) $k(C_{16} \times C_2)$ 1 32 1 $1$ $(C_{16} \times C_2):{\rm Aut}(C_{16} \times C_2)$ 1 1